IIT JEE Practice Question and Answer

Q: Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 1008 0

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    14.69 cm
    Correct
    Wrong
  • 2
    15.69 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    16.42 cm
    Correct
    Wrong
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Answer : 2. "15.69 cm"
Explanation :

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO² = AB² + OB² r² = 14² + x² We use the Pythagorean theorem on right triangle DCO DO² = CD² + OC² We see that OC = OB+BC = x+5, so r² = 10² + (x+5)² So we have a system of two equations: r² = 14² + x² r² = 10² + (x+5)² Since both left sides equal r², set the right sidesequal to each other. 14² + x² = 10² + (x+5)² 196 + x² = 100 + x² + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r² = 14² + x² r² = 196 + (7.1)² r² = 196 + 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

Q: Intermolecular forces in HCl are 1008 0

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    Hydrogen bonding
    Correct
    Wrong
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    Dipole-dipole
    Correct
    Wrong
  • 3
    Dispersion force
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: Intermolecular forces : The forces of attraction present in between the molecules or atoms or compounds is termed as intermolecular forces. The molecule HCl is composed of hydrogen and chlorine atom. There is high difference in electronegativities therefore, it is polar in nature. The H end of HCl is permanently slightly positive charge. The Cl end of HCl has a permanent slight negative charge. the "H" in one molecule is attracted to the "Cl" in a neighbor. The intermolecular force is weak compared to a covalent bond. But this dipole-dipole interaction is one of the stronger intermolecular attractions. It also has hydrogen bonding and dispersion forces.  Dispersion forces are the weakest forces which are present in between all molecules or atoms.Hydrogen bonds are present in molecules having at least one H-A bond where A is the strong electronegative atom (mainly F, Cl and N).

Q: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to  ? 1007 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 4. "2"
Explanation :

Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.

Q: The wavelength of a wave is the distance between 1007 0

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    Crest and Trough
    Correct
    Wrong
  • 2
    Crest and Crest
    Correct
    Wrong
  • 3
    Trough and Trough
    Correct
    Wrong
  • 4
    Both B & C
    Correct
    Wrong
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Answer : 4. "Both B & C"
Explanation :

Answer: D) Both B & C Explanation: Distance between two Consecutive Crests or two Consecutive Troughs is called Wavelength. But the distance between crest and adjacent trough is half the wavelength. That is the distance between adjacent crest and trough is called Half the wavelength.

Q: The Sivasamudram Falls is on which river ? 1007 0

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    Ganga
    Correct
    Wrong
  • 2
    Saryu
    Correct
    Wrong
  • 3
    Cauvery
    Correct
    Wrong
  • 4
    Krishna
    Correct
    Wrong
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Answer : 3. "Cauvery"
Explanation :

Answer: C) Cauvery Explanation:

Q: Several Budget proposals, including the reintroduction of the tax on long-term capital gains (LTCG) exceeding __ from the sale of shares, will kick in from 01st April 2018, the beginning of the 2018-19 financial year. 1006 0

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    1 lakh
    Correct
    Wrong
  • 2
    2 lakhs
    Correct
    Wrong
  • 3
    3 lakhs
    Correct
    Wrong
  • 4
    4 lakhs
    Correct
    Wrong
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Answer : 1. "1 lakh"
Explanation :

Answer: A) 1 lakh Explanation: Several Budget proposals, including the reintroduction of the tax on long-term capital gains (LTCG) exceeding 1 lakh from the sale of shares, will kick in from 01st April 2018, the beginning of the 2018-19 financial year.

Q: Which is an example of Phototropism? 1006 0

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    roots of a plant following water
    Correct
    Wrong
  • 2
    plant bending toward the light
    Correct
    Wrong
  • 3
    roots growing into the soil
    Correct
    Wrong
  • 4
    a venus flytrap capturing a fly
    Correct
    Wrong
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Answer : 2. "plant bending toward the light"
Explanation :

Answer: B) plant bending toward the light Explanation: Phototropism is the ability of a photosynthesizing organism, to grow directionally in response to a light source. It is very common in plants, but can also occur in other organisms such as fungi. Example :: Sunflower

Q: Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ? 1006 0

  • 1
    60 mts
    Correct
    Wrong
  • 2
    120 mts
    Correct
    Wrong
  • 3
    240 mts
    Correct
    Wrong
  • 4
    360 mts
    Correct
    Wrong
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Answer : 4. "360 mts"
Explanation :

Answer: D) 360 mts Explanation: Speed of the Train K is given by s = d/t = 240/20 = 12 m/sDistance covered by Train K in 50 seconds = 12 x 50 = 600 mts.But it crosses Train L in 50 seconds Therefore, the length of the Train L is = 600 - 240 = 360 mts.

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